Selangor Trial 2023 Mathematics Kertas 1

Mathematics

Selangor Trial 2023 Mathematics Kertas 1

• Selangor Trial · 2023
• 40 questions

Answers

From the paper’s own answer key

Explanations

Written by AI — a study aid, may contain mistakes

Last updated

2026-10-29

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1

Which of the following is a quadratic expression in one variable?

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A $r^2 + r^{-1} - 6$ B $\frac{1}{x^2} + x + 7$ C $3t^2 - 6t = 7$ D $2n^2 + 4n^2 - 3$

T4 Chapter 1.1a Quadratic Expressions in One Variable

2

Convert $110_7$ to a number in base two.

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A $101000_2$ B $111000_2$ C $100100_2$ D $111100_2$

T4 Chapter 2.1c Converting Numbers from One Base to Another

3

Which of the following is a statement?

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A $m^2 = 16$ B $7^2 = 14$ C $2x^2 + 3x - 5$ D $\frac{a}{b} = 3$

T4 Chapter 3.1a Statements and Truth Value

4

Table 1 shows Irfan's marks for four subjects. | Subject | Marks | |---|---| | Mathematics | $37_8$ | | Science | $85_{10}$ | | History | $68_9$ | | English | $59_{10}$ | Calculate the average mark for the four subjects in base ten.

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A 54.25 B 59.25 C 238.00 D 249.00

T4 Chapter 2.1e Solving Problems Involving Number Bases

5

Puan Mary deposited RM3 000 in her savings account with an interest rate of 4% per annum compounded quarterly. How much money is in her account at the end of the second year?

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A RM3 240.00 B RM3 244.88 C RM3 280.40 D RM3 248.57

T4 Chapter 10.1b Evaluating Financial Status and Creating a Financial Plan

6

Diagram 1 shows an incomplete argument. Premise 1: If $S = \{a, b, c\}$, then the number of subsets of S is 8. Premise 2: ______ Conclusion: ______ Which of the following completes a deductive argument that is valid and sound?

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A Premise 2: The number of subsets of S is 8. Conclusion: $S \neq \{a, b, c\}$ B Premise 2: The number of subsets of S is 8. Conclusion: $S = \{a, b, c\}$ C Premise 2: The number of subsets of S is not 8. Conclusion: $S \neq \{a, b, c\}$ D Premise 2: $S \neq \{a, b, c\}$ Conclusion: The number of subsets of S is not 8.

T4 Chapter 3.2c Forming a Valid Deductive Argument

7

Diagram 2 shows the Venn diagram for the universal set $\xi$, set P, set Q and set R. Which of the following represents the shaded region?

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A $P \cup Q \cap R'$ B $P' \cap Q \cap R'$ C $P \cap Q \cap R'$ D $P' \cup Q \cap R'$

T4 Chapter 4.3a Combined Operations on Sets

8

The variance of a set of data is 2.8. If each value is reduced by 2 and then divided by 3, determine the new variance.

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A 0.089 B 0.267 C 0.311 D 0.933

T4 Chapter 8.2e Effect of Data Changes on Measures of Dispersion

9

Table 2 shows the games taken part in by 40 pupils. Each pupil took part in at least one game: chess, carrom or scrabble. | Game | Number of pupils | |---|---| | Chess | 18 | | Scrabble | 20 | | Carrom | 27 | | Chess and scrabble | 7 | | Scrabble and carrom | 12 | | Chess, carrom and scrabble | 4 | Calculate the number of pupils who took part in chess and carrom only.

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A 6 B 10 C 14 D 20

T4 Chapter 4.3c Solving Problems Involving Combined Operations on Sets

10

Which of the following graphs is a tree?

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A B C D

T4 Chapter 5.1d Subgraphs and Trees

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